Potential Singularity of the 3D Euler Equations in the Interior Domain (original) (raw)

The nearly singular behavior of the 3D Navier-Stokes equations

ArXiv, 2021

Singular solutions to the 3D axisymmetric incompressible Euler equations

Alain Pumir

Physica D: Nonlinear Phenomena, 1992

On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations

arXiv (Cornell University), 2013

Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation

Multiscale Modeling & Simulation

The 3D incompressible Euler equations with a passive scalar : a road to blow-up?

Finite-time singularities in the axisymmetric three-dimension Euler equations

Alain Pumir

Physical Review Letters, 1992

Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations

Acta Numerica, 2009

Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study

SIAM Review

A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

Edriss Titi

Theoretical and Computational Fluid Dynamics, 2017

On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations

Archive for Rational Mechanics and Analysis, 2014

On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations

Communications on Pure and Applied Mathematics

Potentially Singular Behavior of the 3D Navier–Stokes Equations

Foundations of Computational Mathematics

On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

2014

Potential Singularity Formation of 3D Axisymmetric Navier-Stokes Equations with Degenerate Variable Diffusion Coefficients

arXiv (Cornell University), 2021

Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains

Alex Mahalov

Methods and Applications of Analysis, 2004

Potentially singular solutions of the 3D axisymmetric Euler equations

Proceedings of the National Academy of Sciences of the United States of America, 2014

Title The 3 D incompressible euler equations with a passive scalar : A road to blow-up ?

Edriss Titi

2013

Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation

Communications in Partial Differential Equations, 2006

Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations

Mathematics and Computation, a Contemporary View, 2008

On singularity formation of a 3D model for incompressible Navier–Stokes equations

Advances in Mathematics, 2012

Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with C^{1,\alpha }$$ Velocity and Boundary

Communications in Mathematical Physics

Exact, infinite energy, blow-up solutions of the three-dimensional Euler equations (Nonlinearity

OPEN PROBLEM The three-dimensional Euler equations: singular or non-singular

The three-dimensional Euler equations: singular or non-singular?

Robert Kerr

Nonlinearity, 2008

Development of singularities for the compressible Euler equations with external force in several dimensions

Ольга Розанова

2004

Numerical study of singularity formation in a class of Euler and Navier-Stokes flows

Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations

Journal of Nonlinear Science, 2006

Blowing-up solutions of the axisymmetric Euler equations for an incompressible fluid

Martine Le Berre

arXiv: Fluid Dynamics, 2019

Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations

Annals of PDE, 2022

No Finite Time Blowup for 3D Incompressible Navier Stokes Equations via Scaling Invariance

Terry Moschandreou

Mathematics and Statistics, 2021